Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. F(x, y) = (2x − 5y)i + (−5x + 12y − 4)j
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Given: \[ F(x, y) = (2x - 5y) \mathbf{i} + (-5x + 12y - 4) \mathbf{j} \] So, \[ P(x, y) = 2x - 5y \] \[ Q(x, y) = -5x + 12y - 4 \] Show more…
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